题目
Problem
The diagram shows graphs with equations and .
Describe fully a sequence of two transformations which transforms the graph of to .
[4]
题目中文翻译
图中显示方程为 和 的图像。
完整描述一组由两个变换组成的变换序列,将 的图像变换为 的图像。
[4]
解答
解法一
思路
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比较两条折线的对应转折点。每个点都左移 ,同时纵坐标加倍。
答题过程
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The corner maps to , and maps to . Thus a suitable sequence is to stretch by scale factor in the -direction, then translate by . The two operations act on different coordinates, so the reverse order also works.